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Finding the Third Proportional to 355,019.50 and 775,090

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Solution

The third proportional to 355,019.50 and 775,090 is: 1,692,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,019.50 : 775,090 = 775,090 : x
  2. Step 2: Convert to fraction form
    355,019.50/775,090 = 775,090/x
  3. Step 3: Cross multiply
    355,019.50x = 775,090 × 775,090
  4. Step 4: Simplify right side
    355,019.50x = 600,764,508,100
  5. Step 5: Solve for x
    x = 600,764,508,100/355,019.50
  6. Step 6: Final answer
    x = 1,692,201.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.